In trapezoid abcd, points m and n are arbitrary points on bases ab and cd respectively. find the area of the trapezoid, if area aabn=23 cm2 and area acdm=18 cm2.

Match each expression with its simplified form.

Julius sold five times as many computers as sam sold last year. in total, they sold 78 computers. how many computers did julius sell?

Agroup of students want to create a garden. they do not know the exact measurements but they propose using a variable to represent the length and width of the garden. the length of the garden is 10 feet longer than double the width. use a single variable to write algebraic expressions for both the length and width of the garden. write an algebraic expression for the area of the garden. use mathematical terms to describe this expression.